document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=180539>Question 180539</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780030923517/algebrahomeworkh>Chapter 11 Skill practice</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Can you explain these problem?<BR>\n" );
document.write( "1.) When text messaging on a telephone, pressing a 3 types D, E, F, or 3. Pressing a 7 types P, Q, R, S, or   7. How many messages are possible by pressing a 3, a 7, and then a 3? \r<BR>\n" );
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document.write( "11.) What is the probability that a random 2-digit number is a multiple of 7?\r<BR>\n" );
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document.write( "13.) A mother is making different lunches for each of her 3 children. If each child grabs a lunch bag at random, what is the probability that all 3 children will get the correct bag?\r<BR>\n" );
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document.write( "21.) Two number cubes are rolled--one blue and one yellow. Find the probability that the yellow cube is even, and the sum is 7. Explain why the events are dependent.\r<BR>\n" );
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document.write( "Please answer me as soon as you could. Thank you for your help.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135300 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=135300\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.) When text messaging on a telephone, pressing a 3 types D, E, F, or 3. Pressing a 7 types P, Q, R, S, or 7. How many messages are possible by pressing a 3, a 7, and then a 3? <BR>\n" );
document.write( "Ans: 3*4*3 = 36<BR>\n" );
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document.write( "11.) What is the probability that a random 2-digit number is a multiple of 7?<BR>\n" );
document.write( "Ans: There are 99 2-digit numbers if you do not include 00.<BR>\n" );
document.write( "Multiples of 7 are: 7,14,21,28,35,42,49,etc, 98<BR>\n" );
document.write( "So there are 14 multiples of 7 that are 2-digit numbers<BR>\n" );
document.write( "Ans: Probability = 14/99<BR>\n" );
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document.write( "13.) A mother is making different lunches for each of her 3 children. If each child grabs a lunch bag at random, what is the probability that all 3 children will get the correct bag? <BR>\n" );
document.write( "Ans: There are 3!=6 possible ways to pick the bags; only 1 is the right way.<BR>\n" );
document.write( "Probability = 1/6<BR>\n" );
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document.write( "21.) Two number cubes are rolled--one blue and one yellow. Find the probability that the yellow cube is even, and the sum is 7.<BR>\n" );
document.write( "(yellow is even and sum is 7) = (2,5), (4,3), (6,1)-------3 elements<BR>\n" );
document.write( "Total number of outcomes: 6*6 = 36<BR>\n" );
document.write( "Probability(yellow even and sum is 7) = 3/36 = 1/12<BR>\n" );
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document.write( "Explain why the events are dependent.<BR>\n" );
document.write( "I'll leave that to you.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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